\newproblem{lay:1_9_3}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 1.9.3}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
  Find the standard matrix of $T:\mathbb{R}^2\rightarrow\mathbb{R}^2$, when $T$ is a vertical shear that maps
	$\mathbf{e}_1$ into $\mathbf{e}_1-3\mathbf{e}_2$, but leaves $\mathbf{e}_2$ unchanged.
}{
  % Solution
	The standard matrix of $T$ is
	\begin{center}
		$A=\begin{pmatrix}T(\mathbf{e}_1) & T(\mathbf{e}_2)\end{pmatrix}=\begin{pmatrix}1 & 0 \\ -3 & 1\end{pmatrix}$
	\end{center}
}
\useproblem{lay:1_9_3}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
